References
- Henrion , D and Garulli , A . 2005 . Positive Polynomials in Control , Berlin : Springer . Vol. 312 of Lecture Notes in Control and Information Sciences
- Nesterov , Y . 2000 . Squared Functional Systems and Optimization Problems , 405 – 440 . Dordrecht : Kluwer Academic Press . Chap. 17
- Gurvits , L and Barnum , H . 2003 . Separable balls around the maximally mixed multipartite quantum states. . Physical Review , 68 : 042312
- Horodecki , R , Horodecki , P and Horodecki , M . 1996 . Separability of mixed states: necessary and sufficient conditions. . Physics Letters , 223 ( 1 ) : 1 – 8 .
- Peres , A . 1996 . Separability criterion for density matrices. . Physical Review Letters , 77 : 1413 – 1415 .
- Choi , M-D . 1974 . A Schwarz inequality for positive linear maps on C-algebras. . Illinois Journal of Mathematics , 18 ( 4 ) : 565 – 574 .
- Størmer , E . 1963 . Positive linear maps of operator algebras. . Acta Mathematica , 110 : 233 – 278 .
- Terpstra , F . 1939 . Die Darstellung biquadratischer Formen als Summen von Quadraten mit Anwendung auf die Variationsrechnung. . Mathematische Annalen , 116 : 166 – 180 .
- Woronowicz , S . 1976 . Positive maps of low dimensional matrix algebras. . Reports on Mathematical Physics , 10 : 165 – 183 .
- Gurvits , L and Barnum , H . 2005 . Better bound on the exponent of the radius of the multipartite separable ball. . Physical Review A , 72 : 032322
- Hildebrand , R . 2005 . Cones of ball – ball separable elements. . arXiv quant-ph e-print 0503194
- Vinberg , EB . 1963 . The theory of convex homogeneous cones. . Transactions of Moscow Mathematical Society , 12 : 340 – 403 .
- Verstraete , F , Dehaene , J and De Moor , B . 2001 . Local filtering operations on two qubits. . Physical Review , 64 ( 1 ) : 010101
- Bolshakov , Y and Reichstein , B . 1995 . Unitary equivalence in an indefinite scalar product: an analogue of singular-value decomposition. . Linear Algebra and its Applications , 222 June : 155 – 226 .
- Rockafellar , RT . 1996 . Convex Analysis , Princeton, , New Jersey : Princeton University Press .
- Gorini , V and Sudarshan , ECG . 1976 . Extreme affine transformations. . Communications in Mathematical Physics , 46 February : 43 – 52 .
- Braun , H and Koecher , M . 1966 . Jordan-Algebren , Berlin, , New York : Springer . Vol. 128 of A Series of Comprehensive Studies in Mathematics
- Gurvits , L . 2003 . Classical deterministic complexity of Edmonds' problem and quantum entanglement. . arXiv quant-ph e-print 0303055
- Dines , LL . 1943 . On linear combinations of quadratic forms. . Bulletin of the American Mathematical Society , 49 : 388 – 393 .
- Yakubovich , VA . 1971 . S-procedure in nonlinear control theory. . Vestnik Leningradskogo Universiteta , 1 : 62 – 77 .